Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1220 conjugacy classes of subgroups; only the 271 normal subgroups are shown.
This group has 1220 conjugacy classes of subgroups — too many to draw. Only its 271 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19143059 | C2 | semidirect |
| 3. #19136266 | C2 | semidirect |
| 4. #19136258 | C2 | semidirect |
| 5. C43×#2884 | C2 | semidirect |
| 6. C2×#13063371 | C4 | semidirect |
| 11. #14583473 | C4 | semidirect |
| 14. C2×#13063314 | C4 | semidirect |
| 16. #41×Dic43 | C4 | semidirect |
| 18. #14582873 | C22 | semidirect |
| 19. #14582693 | C22 | semidirect |
| 20. #14582691 | C22 | semidirect |
| 24. C43×#410 | C22 | semidirect |
| 178. #2884 | D43 | semidirect |
| 203. #410 | C2×D43 | semidirect |
| 206. C43 | #33362 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148389 | 2 |
| #19143059 | 2 |
| #19136266 | 2 |
| #19136258 | 2 |
| C43×#2884 | 2 |
| #33362 | 43 |